LCM of 598, 105, 585, 986, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 105, 585, 986, 966 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 598, 105, 585, 986, 966. So, keep reading to learn more.
Given numbers are 598,105,585,986,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,105,585,986,966 is 92866410.
Find LCM of 598,105,585,986,966 with Prime Factorization
| 2 | 598, 105, 585, 986, 966 |
| 3 | 299, 105, 585, 493, 483 |
| 5 | 299, 35, 195, 493, 161 |
| 7 | 299, 7, 39, 493, 161 |
| 13 | 299, 1, 39, 493, 23 |
| 23 | 23, 1, 3, 493, 23 |
| 1, 1, 3, 493, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 23 x 1 x 1 x 3 x 493 x 1 = 92866410
Therefore, the lowest common multiple of 598,105,585,986,966 is 92866410.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
598 x 105 x 585 x 986 x 966 = 34986491303400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
598 : 1, 2, 13, 23, 26, 46, 299, 598
105 : 1, 3, 5, 7, 15, 21, 35, 105
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
986 : 1, 2, 17, 29, 34, 58, 493, 986
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,105,585,986,966, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
105:3x 5x 7
585:3x 3x 5x 13
986:2x 17x 29
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 7x 13x 23 = 376740
Therefore, the value for common factors is 376740.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 34986491303400/(1x376740)
LCM = 34986491303400/376740
LCM = 92866410
Thus, we can understand that the LCM of 598,105,585,986,966 is 92866410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 105, 585, 986, 966
1. What is the LCM of 598, 105, 585, 986, 966?
Answer: LCM of 598, 105, 585, 986, 966 is 92866410.
2. How to calculate the LCM of 598, 105, 585, 986, 966?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 598, 105, 585, 986, 966.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.